Answer:
y - 6 = 2(x - 7)
Step-by-step explanation:
The point-slope of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the poinys (-1, -10) and (5, 2). Substitute:
[tex]m=\dfrac{2-(-10)}{5-(-1)}=\dfrac{12}{6}=2[/tex]
Put the value of the slope and the coordinateso f the point (5, 2), to the equation of a line:
[tex]y-2=2(x-5)[/tex]
In the question we have y - 6 = ...
Therefore
[tex]y-2=2(x-5)[/tex] subtract 4 from both sides
[tex]y-6=2(x-5)-4[/tex] use the distributive property
[tex]y-6=2x-10-4[/tex]
[tex]y-6=2x-14[/tex] distributive
[tex]y-6=2(x-7)[/tex]
